document.write( "Question 1068262: A class trip cost ₱6000. If there had been 10 more student, it would have cost each student ₱30 less.How many students took the trip? \n" ); document.write( "
Algebra.Com's Answer #683469 by ikleyn(52787)\"\" \"About 
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\n" ); document.write( "A class trip cost ₱6000. If there had been 10 more student, it would have cost each student ₱30 less.How many students took the trip?
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document.write( "Let \"n\" be the number of students in the \"basic version\".\r\n" );
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document.write( "Then the cost for one student is \"6000%2Fn\".\r\n" );
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document.write( "If there had been 10 more students, the cost for each would be \"6000%2F%28n%2B10%29\".\r\n" );
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document.write( "The condition says:\r\n" );
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document.write( "\"6000%2Fn\" = \"6000%2F%28n%2B10%29+%2B+30\".\r\n" );
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document.write( "It is your equation to find \"n\". To solve it, multiply both sides by n*(n+1). You will get\r\n" );
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document.write( "6000(n+10) = 6000*n + 30*n*(n+10),\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "60000 = 30*n*(n+10),\r\n" );
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document.write( "2000 = n*(n+10).\r\n" );
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document.write( "The solution is obvious (for me): n = 40.\r\n" );
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document.write( "You can solve this quadratic equation by any method/way you want.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. 40 students in the basic version.\r
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